Finding the Third Proportional to 87,723 and 188,460

Step by Step Solution

1. Step 1: Write the proportion equation
   87,723 : 188,460 = 188,460 : x
2. Step 2: Convert to fraction form
   87,723/188,460 = 188,460/x
3. Step 3: Cross multiply
   87,723x = 188,460 × 188,460
4. Step 4: Simplify right side
   87,723x = 35,517,171,600
5. Step 5: Solve for x
   x = 35,517,171,600/87,723
6. Step 6: Final answer
   x = 404,878.67